Answer the problem.Use the following function and a graphing calculator to answer the questions.f(x) = x4 - 4x2 + 3x + 2, [-0.5, 1.8]a). Plot the function over the interval to see its general behavior there. Sketch the graph below.
b). Find the interior points where f' = 0 (you may need to use the numerical equation solver to approximate a solution). You may wish to plot f' as well. List the points as ordered pairs (x, y).c). Find the interior points where f' does not exist. List the points as ordered pairs (x, y).d). Evaluate the function at the endpoints and list these points as ordered pairs (x, y).e). Find the function's absolute extreme values on
the interval and identify where they occur.
What will be an ideal response?
a).
Solid line: f(x); dashed line: f'(x)
b). See figure above. f'(x) = 0 at x = 0.4093 and x = 1.1644.
Critical points of f(x) are and
.
c). f'(x) is defined on the entire interval.
d). Endpoints are (-0.5, -0.4375) and (1.8, 4.9376).
e). Absolute minimum: (-0.5, -0.4375); absolute maximum (1.8, 4.9376).
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Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) =
A. x-intercept: (-3, 0) , y-intercept: ;
B. x-intercept: (7, 0) , y-intercept: ;
C. x-intercept: (3, 0) , y-intercept: ;
D. x-intercept: (0, 0) , y-intercept: (0, 0) ;
Solve the problem.For the voter profile given below, who (or what) is selected if a second runoff election is held between the two candidates with the most first place votes?
A. a B. d C. c D. b
Find the requested quantity. Write the answer in simplest form.Find the area.
A. 12 square feet
B. 1 square feet
C. square feet
D. 7 square feet
Use a calculator to find the value of y in degrees rounded to two decimal places.y = sin-1 (-0.5119)
A. 120.79° B. 27.11° C. -30.79° D. 30.79°